Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = strong Świątkowski property

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
8 pages, 266 KiB  
Article
Dense and σ-Porous Subsets in Some Families of Darboux Functions
by Gertruda Ivanova and Irena Domnik
Symmetry 2021, 13(5), 759; https://doi.org/10.3390/sym13050759 - 27 Apr 2021
Cited by 3 | Viewed by 1496
Abstract
G. Ivanova and E. Wagner-Bojakowska shown that the set of Darboux quasi-continuous functions with nowhere dense set of discontinuity points is dense in the metric space of Darboux quasi-continuous functions with the supremum metric. We prove that this set also is σ-strongly [...] Read more.
G. Ivanova and E. Wagner-Bojakowska shown that the set of Darboux quasi-continuous functions with nowhere dense set of discontinuity points is dense in the metric space of Darboux quasi-continuous functions with the supremum metric. We prove that this set also is σ-strongly porous in such space. We obtain the symmetrical result for the family of strong Świątkowski functions, i.e., that the family of strong Świątkowski functions with nowhere dense set of discontinuity points is dense (thus, “large”) and σ-strongly porous (thus, asymmetrically, “small”) in the family of strong Świątkowski functions. Full article
(This article belongs to the Special Issue Symmetry in Geometric Functions and Mathematical Analysis)
Back to TopTop